How could the summation of massless fundamental particles give us something that has mass?
Energy and mass are different manifestations of the same thing.
Energy always has a value attached to it though, doesn't it? A value that corresponds to a certain mass? But if a hypothetical fundamental particle/wave/whatever it is has 0J and 0g, then it has no chance at adding together to other fundamental particles to become an object with a mass.
Basically, where I'm at right now in this discussion is this:
1) For any part of nature X with a mass n, there is a part of nature Y with a mass less than n.
2) Any part of nature that has a higher mass than another part of nature is not a fundamental particle.
3) Suppose a part of nature has a mass of 0.
4) By (2), this part of nature is a fundamental particle.
5) If all matter consists of fundamental particles and nothing else, then the mass of all matter is the sum of the mass of all the fundamental particles.
6) If (3), then the mass of all matter is 0.
7) The mass of all matter is not 0.
8) No part of nature has a mass of 0.
C) No part of nature is a fundamental particle.
I know squat about mereology, so I'm just playing games with this thread. It's fun though, and if someone can refute me, I'd be interested to see how.